A corner store carries milk jugs with current and average information presented in the table

above. The store follows a fixed$-$period inventory system $($FPS$)$ to manage its carriage of milk

ugs. The corner store is open $52$ weeks per year and $7$ days per week. Because milk is

perishable, holding a jug for a month costs $75\%$ of the item cost, or $900\%$ per year.

You would need to show equations, steps, and the final results with units for full credits.

Cime intervals and goods quantities are rounded up to whole numbers. You should work with a

ime unit of days, find average daily demand and standard deviation of daily demand, and scale

pes those daily measures to find necessary values.

a$)[2]$ Find the Economic Order Quantity $($EOQ$).($Rounded up to a whole number$)$

b$)[1]$ Based on part $($a$),$ find the time interval between reviews $T$ in days. $($Rounded up$)$

c$)[1]$ Find the current inventory position $($IP$).$

d$)[3]$ Given that no safety stock is considered, find the replenishment level M$($AD$).$ State how

his inventory system would operate. If today is the review day, what is the order quantity?

oosely sketch how the system would operate over time $($movements of IP over time$).$

e$)[3]$ Given that the corner store carries safety stock and aims for the desired service level, find

he replenishment level $M(ST).$ State how this inventory system would operate. If today is the

eview day, what is the order quantity? Loosely sketch how the system would operate over time

movements of IP over time$).$

tint: Use the following table to find the $z-$value corresponding to the desired service level.